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3 years ago

Use the Pythagorean Theorem to answer the questions.

Mathematics

1 answer:

icang [17]3 years ago

7 0

Answer: a. Yes

Step-by-step explanation:

Let the opposite side =12

Let the adjacent side = 16

Let the hypotenuse side =20

Using the pythagoras theorem

we are going to prove that hypotenus is 20

opp² + adj² ⁼ hyp²

12² + 16² ⁼ hyp²

144 + 256 = hyp²

400 = hyp²

√400 =hyp

20= hyp

Therefore hypotenuse= 20

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What is the answer to y divided by 2 = 17

bija089 [108]

The answer is Y=34
Because 34/17 is 34

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2 years ago

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The product of a number and nine is added to five. The result is thirty-

Nuetrik [128]

Answer:

The number is 11

Step-by-step explanation:

6x+38=9x+5

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3 years ago

The ratio of men to women working for a company is 5 to 6. If there are 198 employees total, how many women work for the company

nignag [31]

Answer: 110 Women !

Step-by-step explanation:

Call their numbers 4x to 5x.

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4x + 5x = 198

9x = 198

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so that there are

88 men and 110 women.

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2 years ago

Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solu

Alisiya [41]

Let $y=C_1x+C_2x^3=C_1y_1+C_2y_2$ . Then $y_1$ and $y_2$ are two fundamental, linearly independent solution that satisfy

$f(x,y_1,{y_1}',{y_1}'')=0$
$f(x,y_2,{y_2}',{y_2}'')=0$

Note that ${y_1}'=1$ , so that $x{y_1}'-y_1=0$ . Adding $y''$ doesn't change this, since ${y_1}''=0$ .

So if we suppose

$f(x,y,y',y'')=y''+xy'-y=0$

then substituting $y=y_2$ would give

$6x+x(3x^2)-x^3=6x+2x^3\neq0$

To make sure everything cancels out, multiply the second degree term by $-\dfrac{x^2}3$ , so that

$f(x,y,y',y'')=-\dfrac{x^2}3y''+xy'-y$

Then if $y=y_1+y_2$ , we get

$-\dfrac{x^2}3(0+6x)+x(1+3x^2)-(x+x^3)=-2x^3+x+3x^3-x-x^3=0$

as desired. So one possible ODE would be

$-\dfrac{x^2}3y''+xy'-y=0\iff x^2y''-3xy'+3y=0$

(See "Euler-Cauchy equation" for more info)

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3 years ago

The regular price of a baseball hat is $15.65. If Julio buys the baseball hat on sale for 20% off the regular price, how much ch

larisa [96]

Begin by multiplying $15.65 by 0.20 to find what 20% of the regular price is. This gives you 3.13, which in this situation means $3.13.
To find the price with discount subtract 15.65-3.13. This gives you $12.52.
To find out the change, subtract 20-12.52. This gives you $7.48.
So, he will receive $7.48 in change.
Hope this helps!

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3 years ago